Draw or sketch out any problems like this, otherwise they appear abstract.
A circle’s area can be calculated by (pi d^2)/4 We have an area of 56 cm (^2?), so
pi d^2 = 56 x 4 (or 224) d^2 = 224/pi, d = √(224/pi)
A circle circumscribed around a square has a diameter equivalent to the length of the square’s diagonal, so the square’s diagonal is √(224/pi) (same as the circle diameter…)
A square’s side can be calculated, knowing its diagonal length, by use of Pythagoras’ theorem… The diagonal √(224/pi) is squared, divided by two, since the square’s sides are all equal, and the resulting number’s square root is calculated.
Squaring √(224/pi), we get 224/pi, and dividing by two, we get 112/pi, which is 35.6507 (cm^2), and the square root is 5.9708 cm, the side of the square.
I cannot emphasize enough that a drawing or sketch is an invaluable tool for these tasks, it saves having to retain a “picture” in your head. Note that a calculator was not required up until the last moment, dividing 112 by pi, and finding the square root of that answer. Picking up the calculator too early obliges you to transcribe numbers from the calculator to paper, and that can lead to issues. Try to enjoy maths, see it as a challenge not a chore. (and use correct units!)
2.3K views
Related Questions (More Answers Below)
Answer:
101/120, 102/120, 103/120, and 104/120.
Step-by-step explanation:
First find the LCM of 6 and 8:24
So the two given fractions are 20/24, and 21/24
Since the the fractions will become decimals with the denominator 24, choose another denominator: 48
So the two given fractions are 40/48 and 42/48.
Even this denominator isn't possible so continue with different denominators.
As I notice, that each multiple increases by 1...
20-21, 40-42, 60-63, 80-84, and 100-105.
100-105 is the only numerator that has 4 numbers in-between so, the four fractions between 5/6 and 7/8 are: 101/120, 102/120, 103/120, and 104/120.
And the 2 given fractions are 100/120 and 105/120.
I hope this helps and plz mark me brainliest!!
The distance from the second destination back to Dallas is 918 miles
<h3>Given</h3>
A triangle has points Dallas, destination 1, and destination 2.
The distance from Dallas to destination 1 is 720 miles
The distance from destination 1 and destination 2 is 290 miles
the angle formed between Dallas, destination 1, and destination 2 is 125 degrees.
He moves from destination 1 to Dallas then destination 2
We could use cosine law to find the distance
<h3>What is cosine law?</h3>
The Law of cosines or cosine law means the relation between the length of sides of a triangle with respect to the cosine of its angle. It is also called the cosine rule
=
=84100+518400-417600 cos 125
=602500-417600*(-0.5735)
=602500+239493.6
=841993.6
b=917.6 miles
≅918 miles
The distance is 918 miles he will fly from the second destination back to Dallas
Learn more on Distance here:
brainly.com/question/23183268
#SPJ4
Answer:
D
Step-by-step explanation:
Since you are trying to make x on its own, you are trying to get rid of the co-efficient. The co-efficient is three, so you divide 3 by 3, which would equal one, leaving x on its own. Whatever you do to one side you do to the other, so you would divide 27 by 3 as well.
x = 9
Let say the number is 0.5
Then, sum of this number will be 0.5+0.5=1
Now two is twice of 1.
Hence, it proved to be correct.
And difference between 5 and 1 is 4 which is less than 12. It also match the question condition.
Answer: The number is 1.
